Response of paraboloidal surfaces to linear thermal gradients

Rex M. Kremer

doi:10.1117/12.510370

27 October 2003 Response of paraboloidal surfaces to linear thermal gradients

Rex M. Kremer

Proceedings Volume 5176, Optomechanics 2003; (2003) https://doi.org/10.1117/12.510370
Event: Optical Science and Technology, SPIE's 48th Annual Meeting, 2003, San Diego, California, United States

Abstract

This paper presents a theoretical (closed-form) solution for the z-axis surface deformations of a linear, homogeneous, unconstrained and isotropic paraboloidal surface subjected to a 3-dimensional linear thermal temperature gradient and soak temperature change. Previously, an equation for the component of the nodal surface displacement in the z direction has been published. Attaching the z-axis component of the nodal surface displacement to the original surface does not accurately describe the final surface. This work extends the previous analysis and presents a polynomial equation for the corrected surface deformation along the z-axis, as well as, the coefficients for the standard Zernike polynomial describing the corrected surface deformation. Also included is a discussion about z-axis temperature gradients across the paraboloidal surface and how to calculate an equivalent soak temperature change.

Citation Download Citation

Rex M. Kremer "Response of paraboloidal surfaces to linear thermal gradients", Proc. SPIE 5176, Optomechanics 2003, (27 October 2003); https://doi.org/10.1117/12.510370

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available